Question

Form a quadratic polynomial whose sum of zeroes is 2 root3 and product of zeroes is -1​

Answer 1

Answer: x^2 -2√3x - 1

Step-by-step explanation:

Quadratic polynomial whose sum of zeroes is S and product of zeroes is P, is given by

x^2-Sx+P

= x^2-(2√3) x + (-1)

= x^2 -2√3x - 1

Answer 2

Step-by-step explanation:

let a and b are roots of polynomial, then

we know, a +b = 2root3

a x b= -1

also qudratic form of quadratuc polynomial in root are given is x^2- (a+b)x+a x b

then substitute values

x^2 -2root3 -1 is require polynomial